LIBRARY 

OF  THE 

UNIVERSITY  OF  CALIFORNIA. 

Class 


- 


HIP  AND  VALLEY 
LAY-OUTS   AND   TABLES 

FOR 
ENGINEERS  AND  ARCHITECTS 


BY 

A.  H.  T.  WILLIAMS 

AND 

W.  H.  CULLERS 


FIRST  EDITION 


12.00  POSTPAID 


COPYRIGHTED 
IQIO 


W  II.  CULLER 
Nurtftw«st  Steel  Co. 
Portland,  0. 


OFTHE 

UNIVERSITY 


PREFACE 


Portland,  Oregon,  August  1st,  1910. 

In  the  absence  of  any  definite  information  relative  to  hip  and  valley 
work,  and  knowing  the  great  difficulty  with  which  many  experienced 
as  well  as  student  draftsmen  attack  this  special  line  of  structural  work, 
the  authors  submit  these  plates  and  tables  to  the  structural  draftsmen. 
We  have  included  at  least  ninety  per  cent,  of  the  problems  usually  met 
with  in  this  class  of  work  and  believe  we  have  made  it  possible  for  the 
ordinary  draftsman  to  easily  lay  out  and  detail  the  greater  majority  of 
connections  that  confront  them  in  roof  work. 

The  first  plate  showing  the  method  of  getting  the  general  figures 
necessary  for  detailing,  while  apparently  simple,  has  often  been  the 
downfall  of  the  beginner  in  hip  work,  and  as  a  proper  start  is  the  most 
important  feature  of  any  kind  of  work,  we  believe  that  this  drawing 
is  very  necessary.  The  remainder  of  the  plates  are  so  laid  out  that  the 
draftsman  in  carefully  following  the  lines  of  projections  will  have  no 
difficulty  in  meeting  all  the  conditions  that  arise  in  these  complex 
problems. 

As  the  purlin  connection,  shown  on  Plate  2,  normal  to  the  roof  line 
and  flush  on  top,  is  most  generally  met  with,  we  have  taken  it  as 
standard  and  have  tabulated  all  the  necessary  bevels  for  detailing  this 
connection  for  a  roof  starting  with  a  bevel  of  three  inches  in  twelve  and 
ending  with  eight  and  fifteen-sixteenths  inches  in  twelve  so  that  this 
class  of  joint  may  be  detailed  without  the  laborious  work  necessary  in 
finding"  the  bevels,  thereby  reducing  the  layout  work  to  a  minimum. 

X 

210633 


0   to 


PLATEL2. 


CONNECTION  OF- 


PUGL/M 


I 
«  3 

^ 


PLATE  4. 


WEB  AND  FLAHGZ  CONNECTIONS 


ro 


PLATE  5. 


FLANGE  CONNECT/ON  or 
TEE  PU&LIN  AND  Htf* 


PL.ATEG. 


WEB  CONNECTION  or 


HORIZONTAL  BEAM  TO  HIR 


PLATE  7 


l 

•>  > 
Q    tf 

5  t 


rj  cr 


FLANGE  CONNECTION  OF 


PLATE  B 


if 


r* 


WEB  CONNECT/ON  OF 


I/VCUHED 


TO   Mf>. 


PLATS  9. 


WEB  CONNECTION  OF  HORIZONTAL 


BEAM  A  NO  TILTED  n/P 


0) 

«  3 


PLATE /a 


CONNECTION  OF  TILTED 
BEAM  AND  TILTED  HIP. 

PLATE  II, 


KNEE  B&ACE  CONNECT/ON 


OF  COL  VMM 


PLATE/2 


a 

Angle  A 

b 

c 

d 

e 

f 

g 

h 

3 

D 

14 

M 

2 

8 

10 

2% 

2 

2M 

ny8 

lift 

1% 

2A 

ft 

14 

19 

0 

2& 

2& 

2H 

ny8 

lift 

1% 

2% 

% 

14 

35 

48 

2& 

2A 

3 

ny8 

HM 

1ft 

2A 

A 

14 

52 

32 

2M 

2^ 

3^ 

11% 

nji 

1ft 

2A 

M 

15 

9 

15 

2& 

2^ 

3^ 

lift 

lift 

1% 

2M 

ft 

15 

25 

54 

2& 

2& 

3A 

lift 

lift 

1% 

2ft 

v 

% 

15 

42 

31 

2% 

2A 

3M 

lift 

n% 

Itt 

2ft 

A 

15 

59 

5 

2& 

2M 

3& 

lift 

n% 

Itt 

2% 

3% 

16 

15 

37 

2% 

2M 

3^ 

iiH 

HA 

1% 

2& 

ft 

16 

32 

5 

2% 

2A 

3A 

HH 

lift 

1% 

2ft 

Hi 

16 

48 

31 

2ft 

2% 

3K 

HH 

lift 

1« 

2% 

H 

17 

4 

54 

2% 

2^ 

3H 

HH 

11 

1« 

2ft 

% 

17 

21 

14 

2% 

2A 

3& 

lift 

11 

1% 

2ft 

u 

17 

37 

32 

2& 

2A 

3% 

lift 

io« 

1% 

2% 

% 

17 

53 

46 

2M 

23^ 

3H 

lift 

iott 

Itt 

m 

it 

18 

9 

57 

m 

2^ 

3M 

HH 

10% 

lit 

2& 

4 

18 

26 

6 

2tf 

2A 

3M 

HH 

10% 

2 

2M 

A 

18 

42 

11 

2% 

2^ 

3^ 

n% 

ion 

2 

2tt 

H 

18 

58 

13 

2tt 

2^ 

3^ 

n% 

iott 

2ft 

2tt 

A 

19 

14 

12 

2« 

2^ 

3H 

lift 

10% 

2^ 

2% 

M 

19 

30 

9 

3 

2tt 

4 

lift 

10% 

2% 

2tt 

A 

19 

46 

2 

3& 

2tt 

4^ 

lift 

iott 

2% 

m 

% 

20 

1 

52 

3^ 

2% 

4^ 

HM 

iott 

2ft 

3 

A 

20 

17 

30 

3^ 

2M 

4A 

UH 

10% 

2& 

3A 

4% 

20 

33 

22 

3A 

2H 

4A 

HM 

10% 

2M 

3^ 

A 

20 

4<) 

2 

3H 

m 

4^ 

lift 

10ft 

2M 

3% 

% 

21 

4 

39 

3M 

2K 

4A 

lift 

10ft 

2ft 

3ft 

H 

21 

20 

13 

3^ 

2% 

4^ 

lift 

10% 

2ft 

3ft 

% 

21 

35 

43 

3^ 

2^ 

4A 

lift 

10^ 

2% 

3M 

tt 

21 

51 

10 

3^ 

2« 

4A 

n% 

10ft 

2% 

3^ 

£ 

22 

'    6 

34 

3A 

2tt 

4^ 

11% 

10% 

2& 

3A 

B 

22 

21  ' 

54 

3K 

3 

4^ 

11% 

10% 

2A 

3% 

a 

Angle  A 

b 

c 

d 

e 

f 

g 

h 

5 

D 

22 

M 

37 

s 
12 

3ft 

3 

4^ 

HA 

10ft 

2^ 

3^ 

ft 

22 

52 

25 

3ft 

3^ 

4tt 

HA 

10ft 

2K 

3ft 

l/s 

23 

7 

35 

3^ 

3A 

4^ 

HA 

10% 

2ft 

3K 

ft 

23 

22 

42 

3& 

3^ 

4^ 

11 

10% 

2ft 

3K 

% 

23 

37 

46 

3& 

3^ 

4M 

11 

10ft 

2^ 

3ft 

A 

23 

52 

46 

3% 

33^ 

4K 

11 

10ft 

2^ 

3ft 

% 

24 

7 

42 

3tf 

3^ 

4% 

iott 

10% 

2tt 

3^ 

A 

24 

22 

35 

3% 

3& 

4« 

ion 

10% 

2tt 

3& 

5H 

24 

37 

25 

3% 

3^ 

5 

iott 

10ft 

2% 

3tt 

A 

24 

52 

11 

3« 

3M 

5& 

10% 

10ft 

2% 

3% 

% 

25 

6 

53 

4 

3M 

5^ 

10% 

10 

2tf 

3% 

» 

25 

21 

32 

4 

3^ 

5H 

lOtf 

9tt 

2tf 

3}| 

% 

25 

36 

8 

4ft 

3& 

5A 

io« 

9*t 

2K 

3% 

» 

25 

50 

40 

4^ 

3^ 

5^ 

IOH 

9% 

2% 

3% 

7/8 

26 

5 

8 

4^ 

3^ 

5M 

10% 

9% 

2« 

3« 

it 

26 

19 

33 

4ft 

3^ 

5A 

10% 

9H 

2M 

3« 

6 

26 

33 

54 

4% 

3^ 

5% 

10% 

9H 

3 

4 

A 

26 

48 

12 

4ft 

3& 

5  -A 

iott 

9% 

3 

4ft 

% 

27 

2 

26 

4ft 

3A 

5A 

iott 

9% 

3ft 

4ft 

ft 

27 

16 

36 

4^ 

3A 

5K 

iott 

9& 

3A 

4^ 

% 

27 

30 

43 

4& 

3^ 

5^ 

10% 

9tt 

3^ 

4^ 

A 

27 

44 

46 

4^ 

3^ 

5  A 

10% 

9^ 

3^ 

4ft 

% 

27 

58 

46 

4^ 

3H 

5^ 

10% 

9^ 

3ft 

4% 

A 

28 

12 

42 

4& 

3A 

5H 

IOA 

9ft 

3ft 

4% 

6^ 

28 

26 

35 

4^ 

3^ 

5M 

10ft 

9^ 

3% 

4ft 

A 

28 

40 

23 

4^ 

3A 

5M 

IOH 

9^ 

3% 

4ft 

% 

28 

54 

9 

4^ 

3A 

5M 

IOH 

9ft 

3ft 

4% 

ft 

29 

7 

50 

4M 

3^ 

5M 

IOK 

9ft 

3ft 

4^ 

% 

29 

21 

28 

4M 

3^ 

5^ 

IOA 

9% 

3ft 

4ft 

H 

29 

35 

2 

4H 

3^ 

5*f 

IOA 

9% 

3^ 

4^ 

% 

29 

48 

33 

4^ 

3tt 

5M 

l<),7(i 

9ft 

3^ 

4^ 

H 

30 

2 

0 

4K 

3^ 

6 

10% 

9ft 

3ft 

4ft 

Angle  A 


D 

30 


M 

15 


s 
23 


314 


g 


ft 


30 


28 


43 


6^5 


10ft 


30 


41 


59 


10ft 


30 


55 


11 


5ft. 


3% 


10ft 


31 


20 


3M 


31 


21 


26 


3M 


31 


34 


27 


A 


31 


47 


25 


103% 


32 


19 


10ft 


4% 


A 


32 


13 


10 


4% 


32 


25 


57 


3  if 


32 


38 


41 


3% 


8% 


32 


51 


21 


10ft 


H 


33 


57 


10ft 


3% 


33 


16 


30 


10ft 


tt 


33 
33 


28 


59 


10 


8M 


3% 


41 


24 


6% 


10 


33 


53 


46 


34 


5M 


34 


18 


19 


9% 


5ft 


34 


30 


31 


9% 


34 


42 


38 


5% 


34 


54 


43 


35 


43 


5ft 


35 


18 


40 


4ft 


A 


35 


30 


34 


9M 


N 


35 


42 


24 


9M 


35 


54 


11 


9M 


36 


54 


H 


36 


17 


33 


8ft 


4ft 


it 


36 
36 


29_ 
40 


10 
-42 


_8_ft 
8M 


4ft 
4^ 


DROP   OF  HIP  —  X 

ROOF 
BEVEL 

WIDTH  OF  FLANGE 

3 

3^ 

3M 

3% 

V/2 

3^ 

3M 

r/8 

4 

4K 

4M 

4^ 

VA 

VA 

4M 

4% 

5 

5^ 

VA 

3 

M 

M 

A 

ft 

A 

A 

A 

A 

% 

N 

% 

^ 

% 

N 

A 

A 

A 

A 

A 

A 

M 

H 

A 

A 

A 

A 

A 

N 

y* 

H 

% 

N 

H 

A 

A 

A 

A 

A 

A 

1A 

M 

& 

A 

A 

A 

A 

A 

% 

% 

N 

K 

N 

A 

A 

A 

A 

A 

A 

X 

A 

M 

A 

A 

A 

A 

A 

N 

N 

% 

N 

% 

% 

A 

A 

A 

A 

A 

y2 

1A 

M 

A 

A 

A 

A 

A 

A 

^ 

H 

N 

H 

*/8 

A 

A 

A 

A 

A 

K 

1A 

1A 

A 

A 

1% 

A 

A 

A 

H 

N 

N 

N 

^ 

A 

A 

A 

A 

A 

A 

H 

1A 

y2 

X 

A 

A 

A 

A 

A 

% 

^ 

N 

N 

H 

A 

A 

A 

A 

A 

K 

1A 

1A 

X 

A 

A 

A 

A 

A 

N 

H 

N 

N 

« 

A 

A 

A 

A 

A 

1A 

H 

1A 

1A 

1A 

3K 

A 

A 

A 

A 

N 

*/8 

M 

N 

H 

A 

A 

A 

A 

A 

1A 

H 

1A 

1A 

1A 

A 

A 

A 

A 

^ 

H 

H 

H 

N 

A 

A 

A 

A 

A 

H 

1A 

X 

1A 

y2 

A 

N 

A 

A 

A 

N 

H 

H 

N 

H 

A 

A 

A 

A 

H 

H 

1A 

H 

1A 

A 

A 

ft 

A 

A 

3A 

N 

% 

% 

*/8 

A 

A 

A 

A 

A 

^ 

H 

1A 

X 

y* 

A 

A 

M 

A 

A 

% 

N 

N 

% 

N 

A 

A 

A 

A 

H 

^ 

H 

1A 

1A 

A 

A 

A 

ft 

A 

A 

X 

N 

N 

N 

A 

A 

A 

A 

A 

K 

X 

K 

1A 

A 

A 

A 

A 

K 

A 

X 

% 

N 

N 

N 

A 

A 

A 

A 

H 

H 

1A 

H 

1A 

A 

A 

A 

A 

tt 

A 

H 

3A 

X 

N 

A 

A 

A- 

A 

A 

M 

H 

1A 

H 

A 

A 

A 

A 

A 

4 

N 

N 

X 

N 

^ 

A 

A 

A 

A 

H 

H 

1A 

X 

K 

A 

A 

A 

A 

N 

A 

N 

H 

ZA 

** 

A 

A 

A 

A 

A 

y* 

H 

1A 

1A 

A 

A 

A 

A 

X 

N 

H 

N 

N 

% 

N 

A 

A 

A 

A 

H 

1A 

^ 

H 

A 

A 

A 

A 

A 

X 

^ 

A 

X 

** 

H 

** 

A 

A 

A 

A 

H 

X 

H 

X 

A 

A 

A 

A 

X 

X 

N 

M 

^8 

N 

% 

A 

A 

A 

A 

H 

1A 

1A 

K 

A 

A 

A 

A 

A 

X 

5/8 

X 

A 

M 

H 

H 

A 

A 

A 

A 

« 

y* 

H 

M 

A 

A 

A 

A 

X 

X 

X 

X 

N 

N 

% 

x 

A 

A 

A 

A 

K 

x 

1A 

H 

A 

A 

A 

A 

X 

5/8 

X 

X 

A 

N 

% 

A 

A 

A 

A 

H 

l/2 

H 

1A 

A 

A 

A 

A 

X 

X 

X 

X 

ft 

4^ 

N 

% 

A 

A 

A 

A 

H 

H 

1A 

y* 

A 

A 

A 

A 

% 

X 

5/8 

ft 

ft 

A 

N 

H 

A 

A 

A 

H 

H 

H 

1A 

A 

A 

A 

A 

5/8 

y8 

X 

X 

ft 

ft 

N 

H 

A 

A 

A 

A 

^ 

1A 

K 

1A 

A 

A 

A 

A 

5/8 

X 

X 

tt 

ft 

ft 

ft 

N 

A 

A 

A 

A 

M 

1A 

K 

A 

A 

A 

A 

5/8 

5/8 

X 

X 

tt 

ft 

ft 

M 

N 

A 

A 

A 

K 

K 

1A 

H 

A 

A 

A 

A 

5/8 

5/8 

y* 

H 

H 

ft 

ft 

H 

A 

A 

A 

A 

H 

1A 

1A 

H 

A 

A 

A 

5/8 

5/8 

X 

X 

tt 

ft 

ft 

ft 

7/s 

A 

A 

A 

A 

^ 

1A 

K 

A 

A 

A 

A 

5/8 

5/8 

5/8 

X 

tt 

ft 

ft 

H 

H 

A 

A 

A 

X 

H 

1A 

1A 

A 

A 

A 

A 

ys 

% 

X 

« 

H 

ft 

H 

M 

DROP  OF  HIP  =  X 

ROOF 
BEVEL 

WIDTH  OF  FLANGE 

5« 

5j^ 

5^ 

5M 

5^ 

6 

6^ 

6M 

V/8 

V/2 

6^ 

6M 

6K 

7 

7l/8 

7K 

7*/8 

7K 

7^ 

7M 

3 

A 

H 

H 

H 

H 

y2 

A 

A 

A 

A 

A 

A 

H 

H 

X 

H 

H 

N 

ft 

ft 

A 

H 

Hi 

H 

K 

K 

A 

A 

A 

A 

A 

A 

5/8 

« 

5/8 

5/8 

5/8 

5/8 

ft 

ft 

ft 

l/s 

M 

H 

K 

H 

A 

A 

A 

A 

A 

A 

N 

5/8 

K 

5/8 

it 

ft 

ft 

ft 

ft 

ft 

A 

l/2 

K 

l/2 

H 

A 

A 

A 

A 

A 

5/8 

W 

X 

N 

H 

ft 

ft 

ft 

ft 

H 

ft 

1A 

1A 

K 

1A 

A 

A 

A 

A 

A 

H 

X 

% 

X 

H 

ft 

ft 

ft 

ft 

ft 

ft 

« 

A 

1A 

H 

A 

A 

A 

A 

A 

5/8 

X 

N 

« 

5/8 

ft 

H 

i* 

ft 

ft 

ft 

X 

% 

X 

1A 

A 

A 

A 

A 

A 

5/8 

5/8 

X 

H 

^ 

ft 

ft 

ft 

ft 

ft 

X 

% 

X 

M 

A 

A 

A 

A 

A 

A 

5/8 

5/8 

5/8 

5/8 

H 

ft 

ft 

ft 

ft 

ft 

X 

% 

% 

X 

M 

3^ 

A 

A 

A 

A 

A 

5/8 

5/8 

5/8 

K 

H 

ft 

ft 

ft 

H 

x 

X 

% 

X 

% 

if 

A 

A 

A 

A 

A 

M 

5/8 

X 

5/8 

5/8 

ft 

ft 

ft 

ft 

M 

X 

X 

X 

X 

if 

if 

X 

A 

A 

A 

H 

% 

% 

5/8 

5/8 

ft 

ft 

ft 

ft 

ft 

X 

X 

X 

X 

if 

if 

if 

ft 

A 

A 

5/8 

N 

N 

5/8 

5/8 

ft 

ft 

ft 

ft 

ft 

M 

X 

X 

% 

if 

if 

if 

if 

M 

A 

A 

5/8 

N 

N 

5/8 

ft 

ft 

ft 

H 

ft 

M 

M 

X 

X 

if 

if 

if 

if 

H 

if 

A 

^ 

5/8 

W 

M 

ft 

ft 

ft 

^ 

ft 

M 

H 

X 

X 

X 

if 

if 

if 

if 

K 

8 

% 

^ 

5/8 

N 

N 

ft 

ft 

ft 

ft 

M 

X 

M 

% 

X 

if 

if 

if 

if 

% 

K 

if 

% 

^ 

5/8 

N 

ft 

ft 

ft 

ft 

X 

M 

X 

M 

X 

if 

if 

if 

if 

H 

7/8 

K 

4 

N 

5/8 

5/8 

ft 

ft 

ft 

ft 

ft 

X 

M 

% 

X 

if 

if 

if 

if 

7/8 

K 

7/8 

K 

A 

H 

5/8 

5/8 

ft 

ft 

.ft 

ft 

M 

X 

X 

X 

if 

if 

if 

if 

H 

7/8 

% 

7/8 

K 

H 

^ 

5/8 

H 

ft 

ft 

ft 

M 

X 

X 

X 

if 

if 

if 

if 

if 

7/8 

7/8 

7/8 

7/8 

if 

A 

N 

tt 

H 

ft 

ft 

ft 

M 

X 

% 

X 

if 

if 

if 

if 

H 

7/8 

7/8 

7/8 

if 

if 

1A 

H 

tt 

H 

ft 

ft 

M 

« 

X 

X 

if 

if 

if 

if 

7/8 

7/8 

7/8 

7/8 

if 

if 

if 

A 

ft 

ft 

ft 

ft 

M 

M 

X 

X 

if 

if 

if 

if 

7/8 

H 

7/8 

7/8 

if 

if 

if 

M 

% 

ft 

H 

ft 

ft 

X 

M 

X 

X 

if 

ft 

if 

if 

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1A 


ift 


itt 


!$_ 
^tt 
itt 
J_tt 
U* 
itt 


^A 

1* 

^A 

IA 


1A 


^tt 
Ui 

JJ* 
jit 

^tt 

11* 

itt 


/.- 


4%, 

%-' 


UNIVERSITY  OF  CALIFOENIA  LIBRARY 
BERKELEY 


THIS  BOOK  IS  DUE  ON  THE  LAST  DATE 
STAMPED  BELOW 


expiration  o'f  loan  period. 
Id 

MAY  0  3 

U.C.BERKELEY 


50m-7,'16 


